The bottom lateral side has area of 6*7 = 42 square feet
The two lateral sides facing up at a slant have area of 5*7 = 35 sq ft each
So the total lateral surface area is: 42+35+35 = 112 square feet
The front and back base faces of the prism have area of 6*4/2 = 24/2 = 12 sq ft
The total base area is 2*12 = 24 sq ft
Overall, the total surface area of this entire prism is 24+112 = 136 sq ft
which is the minimum amount of material needed
Answer: 136 square feet